What is the Least Common Multiple of 98253 and 98271?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 98253 and 98271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98253 and 98271, than apply into the LCM equation.

GCF(98253,98271) = 9
LCM(98253,98271) = ( 98253 × 98271) / 9
LCM(98253,98271) = 9655420563 / 9
LCM(98253,98271) = 1072824507

Least Common Multiple (LCM) of 98253 and 98271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98253 and 98271. First we will calculate the prime factors of 98253 and 98271.

Prime Factorization of 98253

Prime Factorization of 98271

Now multiplying the highest exponent prime factors to calculate the LCM of 98253 and 98271.

LCM(98253,98271) = 3⁴ × 1213¹ × 61¹ × 179¹
LCM(98253,98271) = 1072824507